8y+10=5y-2

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Solution for 8y+10=5y-2 equation:


Simplifying
8y + 10 = 5y + -2

Reorder the terms:
10 + 8y = 5y + -2

Reorder the terms:
10 + 8y = -2 + 5y

Solving
10 + 8y = -2 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
10 + 8y + -5y = -2 + 5y + -5y

Combine like terms: 8y + -5y = 3y
10 + 3y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + 3y = -2 + 0
10 + 3y = -2

Add '-10' to each side of the equation.
10 + -10 + 3y = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = -2 + -10
3y = -2 + -10

Combine like terms: -2 + -10 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4

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